Aimed primarily at graduate students and beginning researchers,
this book provides an introduction to algebraic geometry that is
particularly suitable for those with no previous contact with the
subject; it assumes only the standard background of undergraduate
algebra. The book starts with easily-formulated problems with
non-trivial solutions and uses these problems to introduce the
fundamental tools of modern algebraic geometry: dimension;
singularities; sheaves; varieties; and cohomology. A range of
exercises is provided for each topic discussed, and a selection of
problems and exam papers are collected in an appendix to provide
material for further study.
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